TY - JOUR
T1 - Givental's Non-linear Maslov Index on Lens Spaces
AU - Granja, Gustavo
AU - Karshon, Yael
AU - Pabiniak, Milena
AU - Sandon, Sheila
N1 - Publisher Copyright:
© 2020 The Author(s) 2020. Published by Oxford University Press. All rights reserved. For permissions, please e-mail: [email protected].
PY - 2021/12/1
Y1 - 2021/12/1
N2 - Givental's non-linear Maslov index, constructed in 1990, is a quasimorphism on the universal cover of the identity component of the contactomorphism group of real projective space. This invariant was used by several authors to prove contact rigidity phenomena such as orderability, unboundedness of the discriminant and oscillation metrics, and a contact geometric version of the Arnold conjecture. In this article, we give an analogue for lens spaces of Givental's construction and its applications.
AB - Givental's non-linear Maslov index, constructed in 1990, is a quasimorphism on the universal cover of the identity component of the contactomorphism group of real projective space. This invariant was used by several authors to prove contact rigidity phenomena such as orderability, unboundedness of the discriminant and oscillation metrics, and a contact geometric version of the Arnold conjecture. In this article, we give an analogue for lens spaces of Givental's construction and its applications.
UR - http://www.scopus.com/inward/record.url?scp=85122363902&partnerID=8YFLogxK
U2 - 10.1093/imrn/rnz350
DO - 10.1093/imrn/rnz350
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AN - SCOPUS:85122363902
SN - 1073-7928
VL - 2021
SP - 18225
EP - 18299
JO - International Mathematics Research Notices
JF - International Mathematics Research Notices
IS - 23
ER -